Suppose that 65% of all registered voters in a certain area favor a 7-day waiting period before purchase of a handgun. Among 285 randomly selected voters, determine the approximate probabilities below. (Use the approximating normal distribution. You may need to use a table. Round your answers to four decimal places.) USE SALT (a) What is the approximate probability that at least 190 favor such a waiting period? 0.2901✔ (b) What is the approximate probability that more than 190 favor such a waiting period? 0.2796✔ (c) What is the approximate probability that fewer than 170 favor such a waiting period? 0.0332 X

MATLAB: An Introduction with Applications
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To solve this problem, we can use the properties of the binomial distribution and its approximation by the normal distribution when the sample size is large.

So, the approximate probability that fewer than 170 out of 285 randomly selected voters favor a 7-day waiting period is 0.0301 (or 3.01%). I think the third answer choice is wrong as it is clearly marked wrong by the grading system. So, perhaps the answer is not 0.0332 , but rather another answer. It is not clear to me if the right answer is 0.0301 or something else. Please take a look at the attached image.

 

Suppose that 65% of all registered voters in a certain area favor a 7-day waiting period before purchase of a handgun. Among 285 randomly selected voters, determine the approximate probabilities below. (Use the approximating normal distribution. You may need to use a table. Round your answers to four decimal
places.)
USE SALT
(a) What is the approximate probability that at least 190 favor such a waiting period?
0.2901
(b) What is the approximate probability that more than 190 favor such a waiting period?
0.2796
(c) What is the approximate probability that fewer than 170 favor such a waiting period?
0.0332 X
Transcribed Image Text:Suppose that 65% of all registered voters in a certain area favor a 7-day waiting period before purchase of a handgun. Among 285 randomly selected voters, determine the approximate probabilities below. (Use the approximating normal distribution. You may need to use a table. Round your answers to four decimal places.) USE SALT (a) What is the approximate probability that at least 190 favor such a waiting period? 0.2901 (b) What is the approximate probability that more than 190 favor such a waiting period? 0.2796 (c) What is the approximate probability that fewer than 170 favor such a waiting period? 0.0332 X
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